123942431175840 has 768 divisors, whose sum is σ = 476593811366400. Its totient is φ = 29971648512000.

The previous prime is 123942431175793. The next prime is 123942431175847. The reversal of 123942431175840 is 48571134249321.

123942431175840 is a `hidden beast` number, since 1 + 2 + 3 + 9 + 4 + 2 + 43 + 1 + 17 + 584 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (123942431175847) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 178012390 + ... + 178707290.

It is an arithmetic number, because the mean of its divisors is an integer number (620564858550).

Almost surely, 2^{123942431175840} is an apocalyptic number.

123942431175840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 123942431175840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238296905683200).

123942431175840 is an abundant number, since it is smaller than the sum of its proper divisors (352651380190560).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

123942431175840 is a wasteful number, since it uses less digits than its factorization.

123942431175840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 695038 (or 695024 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 123942431175840 in words is "one hundred twenty-three trillion, nine hundred forty-two billion, four hundred thirty-one million, one hundred seventy-five thousand, eight hundred forty".